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FAST望远镜的AB转轴机构相当于具有两个水平正交轴的万向节,用于调整馈源舱内设备的指向角。其外环(A环)曲梁跨度大,承载重,且要求轻质和高刚度。基于弯扭耦合的曲梁理论建立了A环结构的基本微分方程,给出了结构变形挠度与结构参数之间的关系。以结构总重量作为结构优化总目标,以不同倾角下曲梁跨中最大扰度及最大扰度差作为主要约束条件,应用信赖域法对实腹式箱梁和桁架式梁两种结构方案进行了优化计算,并对两种结构方案进行了比较。初步的优化结果表明桁架式梁结构方案具有更轻的结构重量。
The AB spindle mechanism of the FAST telescope is equivalent to a gimbal with two horizontal orthogonal axes for adjusting the pointing angle of the equipment in the feed capsule. The outer ring (A ring) curved beam span, bearing heavy, and requires light weight and high stiffness. Based on the curved beam theory of bending and torsion, the basic differential equation of A-ring structure is established and the relationship between structural deflection and structural parameters is given. Taking the total weight of the structure as the general objective of structural optimization, the maximum disturbance and the maximum disturbance difference in the span of the curved beam under different inclinations are taken as the main constraints. The trust zone method is applied to the two kinds of structural schemes of the solid-abdominal box girder and the truss beam Optimize the calculation, and compare the two kinds of structural schemes. The initial optimization results show that the truss beam structure has a lighter weight.